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Finding the Fourth Proportional to 19,737.32, 29,605.93 and 4,946.20

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Solution

The fourth proportional to 19,737.32, 29,605.93 and 4,946.20 is: 7,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737.32 : 29,605.93 = 4,946.20 : x
  2. Step 2: Convert to fraction form
    19,737.32/29,605.93 = 4,946.20/x
  3. Step 3: Cross multiply
    19,737.32x = 29,605.93 × 4,946.20
  4. Step 4: Simplify right side
    19,737.32x = 146,436,764.59
  5. Step 5: Solve for x
    x = 146,436,764.59/19,737.32
  6. Step 6: Final answer
    x = 7,419.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.